If P = He is a carpenter and q = He is making a table.
Then write down the following statement into symbols :
It is false that he is a carpenter or making a table.

Answer

To convert the statement "It is false that he is a carpenter or making a table" into symbols, we will follow these steps:

### Step 1: Identify the Statements
We are given:
- \( P \): He is a carpenter.
- \( Q \): He is making a table.

### Step 2: Understand the Logical Structure
The statement "It is false that he is a carpenter or making a table" can be interpreted as the negation of the disjunction of \( P \) and \( Q \). In logical terms, this can be expressed as:
- "He is a carpenter or making a table" is represented as \( P \lor Q \).

### Step 3: Apply Negation
The phrase "It is false that" indicates that we need to negate the entire disjunction. Therefore, we write:
- "It is false that he is a carpenter or making a table" can be expressed as \( \neg (P \lor Q) \).

### Final Expression
Thus, the complete symbolic representation of the statement is:
\[ \neg (P \lor Q) \]

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